Question 1

Determine whether the number 2 is a zero of f (x) =   + 5   - 22x + 16. If it is, find the other real zeros.

Accepted Answer

A)  2 is not a zero. 
B)  2 is a zero and the others are 1 and -8. 
C)  2 is a zero and the others are -1 and 8. 
D)  2 is a zero and there are no other real zeros. 
A)  2 is not a zero. 
B)  2 is a zero and the others are 1 and -8. 
C)  2 is a zero and the others are -1 and 8. 
D)  2 is a zero and there are no other real zeros.

Question 2

Find all the real zeros (and state their multiplicity) of the polynomial function.

Accepted Answer

A)  0, 8 
B)  0 (multiplicity 4), 8 (multiplicity 2) 
C)  8 (multiplicity 2) 
D)  0 (multiplicity 6), 8 (multiplicity 2) 
A)  0, 8 
B)  0 (multiplicity 4), 8 (multiplicity 2) 
C)  8 (multiplicity 2) 
D)  0 (multiplicity 6), 8 (multiplicity 2)

Question 3

Find the vertex of the parabola associated with the quadratic function.
Y =   + 6x + 22

Accepted Answer

A)  (3, -13) 
B)  (-3, -13) 
C)  (-3, 13) 
D)  (3, 13) 
A)  (3, -13) 
B)  (-3, -13) 
C)  (-3, 13) 
D)  (3, 13)

Question 4

Graph the quadratic function.
y =   + 2x + 4

Accepted Answer

The answer of Graph the quadratic function.
y =  ...

Question 5

A rancher has 3000 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?

Accepted Answer

A)  187,500 square feet 
B)  15,000 square feet 
C)  375,000 square feet 
D)  360,000 square feet 
A)  187,500 square feet 
B)  15,000 square feet 
C)  375,000 square feet 
D)  360,000 square feet

Question 6

Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.

Accepted Answer

The answer of Given a zero of the polynomial, determine...

Question 7

A person standing near the edge of a cliff 150 feet above a lake throws a rock upward with an initial speed of 40 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time and is described 
  
-How many seconds will it take until the rock reaches its maximum height?
What is that height?

Accepted Answer

1.25 secon

Question 8

Rewrite the quadratic function in standard form by completing the square.

Accepted Answer

The answer of Rewrite the quadratic function in standard form...

Question 9

Determine if the function is a polynomial.   If it is, state the degree.

Accepted Answer

A)  Not a polynomial 
B)  a polynomial of degree 21 
C)  a polynomial of degree 42 
D)  a polynomial of degree 4 
A)  Not a polynomial 
B)  a polynomial of degree 21 
C)  a polynomial of degree 42 
D)  a polynomial of degree 4

Question 10

Use the graphing strategy to graph the rational function.
f (x) =

Accepted Answer

The answer of Use the graphing strategy to graph the...

Question 11

For the polynomial function f (x) = 5   +3x - 7, use synthetic division to find f (6).

Accepted Answer

A)  1091 
B)  1104 
C)  1182 
D)  6 
A)  1091 
B)  1104 
C)  1182 
D)  6

Question 12

Find the domain of the rational function.
F (x) =

Accepted Answer

A)  (-?, -8) ? (8, ?) 
B)  (-?, -8) ? (-8, 5/4) ? (5/4, ?) 
C)  (-8, 5/4) 
D)  (-?, -3/5) ? (3/5, ?) 
A)  (-?, -8) ? (8, ?) 
B)  (-?, -8) ? (-8, 5/4) ? (5/4, ?) 
C)  (-8, 5/4) 
D)  (-?, -3/5) ? (3/5, ?)

Question 13

Find all zeros (real and complex). Factor the polynomial as a product of linear factors.

Accepted Answer

x = -10 ±

Question 14

Find the standard form of the equation of a parabola whose vertex is (5, 10) and passes through the point (3, 30).

Accepted Answer

The answer of Find the standard form of the equation...

Question 15

Use the rational zero theorem to list the possible rational zeros.

Accepted Answer

A)  {±1, ±1/11, ±7/11} 
B)  {±1, ±11, ±7, ±77} 
C)  {±1, ±11, ±7, ±77, ±1/11, ±7/11} 
D)  {±1, ±11, ±7} 
A)  {±1, ±1/11, ±7/11} 
B)  {±1, ±11, ±7, ±77} 
C)  {±1, ±11, ±7, ±77, ±1/11, ±7/11} 
D)  {±1, ±11, ±7}

Question 16

Rewrite the quadratic function in standard form by completing the square.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Find the domain of the rational function f (x) =   .

Accepted Answer

A)  (-?, -2) ? (-2, ?) 
B)  [25, ?) 
C)  (-?, 2] ? [2, ?) 
D)  (-?, 2) ? (2, ?) 
A)  (-?, -2) ? (-2, ?) 
B)  [25, ?) 
C)  (-?, 2] ? [2, ?) 
D)  (-?, 2) ? (2, ?)

Question 18

For the rational function f (x) =   , find all vertical and horizontal asymptotes.

Accepted Answer

A)  vertical asymptotes x = -1 and x = -7, horizontal asymptote y = 2 
B)  vertical asymptotes x = -1 and x = -7, horizontal asymptote y =   
C)  no vertical asymptotes, horizontal asymptote y = 2 
D)  vertical asymptotes x = 1 and x = 7, horizontal asymptote y =   
A)  vertical asymptotes x = -1 and x = -7, horizontal asymptote y = 2 
B)  vertical asymptotes x = -1 and x = -7, horizontal asymptote y =   
C)  no vertical asymptotes, horizontal asymptote y = 2 
D)  vertical asymptotes x = 1 and x = 7, horizontal asymptote y =

Question 19

Graph the quadratic function.
y =   - 1

Accepted Answer

The answer of Graph the quadratic function.
y =  ...

Question 20

Find the general form of the equation of a parabola whose vertex is (2, 1.5) and passes through the point (1, 0.3).

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Determine whether the number 2 is a zero of f (x) = + 5 - 22x + 16. If it is, find the other real zeros.

Find all the real zeros (and state their multiplicity) of the polynomial function.

Find the vertex of the parabola associated with the quadratic function. Y = + 6x + 22

Graph the quadratic function. y = + 2x + 4

A rancher has 3000 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?

Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.

Rewrite the quadratic function in standard form by completing the square.

Determine if the function is a polynomial. If it is, state the degree.

Use the graphing strategy to graph the rational function. f (x) =

For the polynomial function f (x) = 5 +3x - 7, use synthetic division to find f (6).

Find the domain of the rational function. F (x) =

Find all zeros (real and complex). Factor the polynomial as a product of linear factors.

Find the standard form of the equation of a parabola whose vertex is (5, 10) and passes through the point (3, 30).

Use the rational zero theorem to list the possible rational zeros.

Rewrite the quadratic function in standard form by completing the square.

Find the domain of the rational function f (x) = .

For the rational function f (x) = , find all vertical and horizontal asymptotes.

Graph the quadratic function. y = - 1

Find the general form of the equation of a parabola whose vertex is (2, 1.5) and passes through the point (1, 0.3).

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Exam 4: Polynomial and Rational Functions

Determine whether the number 2 is a zero of f (x) = + 5 - 22x + 16. If it is, find the other real zeros.

Find all the real zeros (and state their multiplicity) of the polynomial function.

Find the vertex of the parabola associated with the quadratic function. Y = + 6x + 22

Graph the quadratic function. y = + 2x + 4

A rancher has 3000 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?

Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.

Rewrite the quadratic function in standard form by completing the square.

Determine if the function is a polynomial. If it is, state the degree.

Use the graphing strategy to graph the rational function. f (x) =

For the polynomial function f (x) = 5 +3x - 7, use synthetic division to find f (6).

Find the domain of the rational function. F (x) =

Find all zeros (real and complex). Factor the polynomial as a product of linear factors.

Find the standard form of the equation of a parabola whose vertex is (5, 10) and passes through the point (3, 30).

Use the rational zero theorem to list the possible rational zeros.

Rewrite the quadratic function in standard form by completing the square.

Find the domain of the rational function f (x) = .

For the rational function f (x) = , find all vertical and horizontal asymptotes.

Graph the quadratic function. y = - 1

Find the general form of the equation of a parabola whose vertex is (2, 1.5) and passes through the point (1, 0.3).

Equations and Inequalities

Graphs

Functions and Their Graphs

Exponential and Logarithmic Functions

Systems of Linear Equations and Inequalities

Matrices

Conics and Systems of Nonlinear Equations and Inequalities

Sequences, Series, and Probability

Filters